Answer
NOT a one-to-one-function
Work Step by Step
Some of the ordered pairs of the given function, $
f(x)=3x^2+2
$, are $
\left\{(-2,14)(-1,5),(0,2),(1,5),(2,14),...\right\}
$. Note that the $y$-coordinates are NOT unique (i.e $5$ is paired with both $-1$ and $1$). Hence, the given function is NOT a one-to-one function.